Like I said, maybe not Epic, but I like the Savage Gulf (South Cumberland State Park) area in Southeast Tennessee. There are ~90 miles of trails there. Â The Firey Gizzard Trail in the same State Park is nice but it’s only an overnighter.
Virgin Falls is a nice place for an overnighter along the Cumberland Plateau, in middle Tennessee.
Of course you have lots of really good stuff in east Tennessee, GSMNP and the Appalachian Trail. The closest thing to Epic might be Roan Highlands in east Tennessee, but that is A LONG way from Alabama, and not on your drive home. A hike along the AT through the Smokies would be nice too.
I don’t know anything about Arkansas, but there might be something there that would be serviceable.
Sispsy Wilderness in Alabama is a not a terrible place either. I haven’t done a trip there in many years, but it is the best place I know of in Alabama proper. Walls of Jericho is a nice dayhike destination.